Question

Adam, Brian, and Christine order two small pizzas. Adam eats three quarters of a pizza, Brian eats one third of a pizza, and Christine eats the rest. How much does Christine eat, expressed as a fraction of one pizza?

Answer 1

Answer:  11/12

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Explanation:

3/4 = 9/12 after multiplying top and bottom by 3

1/3 = 4/12 after multiplying top and bottom by 4

When combining the fractions 3/4 and 1/3, we get,

3/4 + 1/3 = 9/12 + 4/12 = (9+4)/12 = 13/12

Let's convert that result into a mixed number

13/12 = (12+1)/12

13/12 = 12/12 + 1/12

13/12 = 1 + 1/12

13/12 = 1 & 1/12

Adam and Brian have collectively eaten 1 full pizza plus an additional 1/12 of the second pizza. This leaves 11/12 of the second pizza for Christine to eat. Notice how the fractions part 1/12 and 11/12 add to 12/12 = 1.

Check out the diagram below.